The Hatter, the Hare, the Rabbit, the Mouse, Alice and I met for a Tea Party. The table had two sides, with three chairs on each side, numbered like so:

Side A: 1 2 3
Side B: 6 5 4

Chair one was across from chair 6, chair 2 across from chair 5, etc. We would sit down one at a time, in any chair we choose. The first guest to sit down was called the first guest. After the second guest sat down, however, everyone moved clockwise to the next chair. This behavior was continued after the fourth and sixth guest sat down.

My question is, after everyone had been seated, where was I seated?

(1) The first guest sat in chair 1.
(2) The mouse sat down last.
(3) After the first time everyone moved, no one had been on side B yet.
(4) The Hatter and Alice choose the same starting chair.
(5) When I was in chair 1, the Rabbit was in chair 6.
(6) I started on side B, but didn't end there.
(7) The hare moved all three times.
(8) Alice ended up between the mouse and the hare.
(9) I sat down after the rabbit but before the hatter.
(10) The mouse sat down in an odd numbered chair.

where the first line is the sequence of guests sitting down (where t represents the hatter and i represents the narrator). The last line represents the final seats of the particapants, in order from seat 1 to seat 6.

The middle row in each represents the moving slot in which the guest sat: that is, at the beginning each slot is labeled with the chair in which it is located, but after moves 2, 4 and 6 each slot moves a chair clockwise. So we could relabel these by the current chair under which the entering guest took the place:

haritm125625ritham

ahritm124512itmahr

so the first solution has Hare sits in chair 1.Alice sits in chair 2.Rabbit sits in chair 5."I" (narrator) sits in chair 6.Hatter sits in chair 2.Mouse sits in chair 5.